Digitized counterdiabatic quantum critical dynamics

Digitized counterdiabatic quantum critical dynamics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Digitized counterdiabatic quantum critical dynamics Anne-Maria Visuri, Alejandro Gomez Cadavid, Balaganchi Bhargava, and 6 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6306195/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract We experimentally demonstrate that a digitized counterdiabatic quantum protocol reduces the number of topological defects created during a fast quench across a quantum phase transition. To show this, we perform quantum simulations of one- and two-dimensional transverse-field Ising models driven from the paramagnetic to the ferromagnetic phase. We utilize superconducting cloud-based quantum processors with up to 156 qubits. Our data reveal that the digitized counterdiabatic protocol reduces defect formation by up to 48% in the fast-quench regime—an improvement hard to achieve through digitized quantum annealing under current noise levels. The experimental results closely match theoretical and numerical predictions at short evolution times before deviating at longer times due to hardware noise. In one dimension, we derive an analytic solution for the defect number distribution in the fast-quench limit. For two-dimensional geometries, where analytical solutions are unknown and numerical simulations are challenging, we use advanced matrix product state methods. Our findings indicate a practical way to control topological defect formation during fast quenches and highlight the utility of counterdiabatic protocols for quantum optimization and quantum simulation in material design on current quantum processors. Physical sciences/Physics/Quantum physics/Quantum simulation Physical sciences/Physics/Condensed-matter physics/Phase transitions and critical phenomena Full Text Additional Declarations There is NO Competing Interest. Supplementary Files SMQKZMwithDCQC.pdf Supplementary Material: Digitized counterdiabatic quantum critical dynamics Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6306195","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":444575826,"identity":"a92c63d9-a24d-40aa-ac6c-cc40ad67fd23","order_by":0,"name":"Anne-Maria Visuri","email":"data:image/png;base64,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","orcid":"https://orcid.org/0000-0002-4167-7769","institution":"Kipu Quantum GmbH","correspondingAuthor":true,"prefix":"","firstName":"Anne-Maria","middleName":"","lastName":"Visuri","suffix":""},{"id":444575827,"identity":"0b86f5e8-42cd-4007-a9de-dda8ed0cbcf8","order_by":1,"name":"Alejandro Gomez Cadavid","email":"","orcid":"","institution":"Kipu Quantum GmbH","correspondingAuthor":false,"prefix":"","firstName":"Alejandro","middleName":"Gomez","lastName":"Cadavid","suffix":""},{"id":444575828,"identity":"0b964887-98c7-48d8-ae39-cd8e17cd9ac9","order_by":2,"name":"Balaganchi Bhargava","email":"","orcid":"","institution":"Kipu Quantum GmbH","correspondingAuthor":false,"prefix":"","firstName":"Balaganchi","middleName":"","lastName":"Bhargava","suffix":""},{"id":444575829,"identity":"30ac9d13-2f98-4c04-ac14-19b799016853","order_by":3,"name":"Sebastián Romero","email":"","orcid":"","institution":"Kipu Quantum GmbH","correspondingAuthor":false,"prefix":"","firstName":"Sebastián","middleName":"","lastName":"Romero","suffix":""},{"id":444575830,"identity":"f390094b-faf4-4efe-af1b-3b97bd6e8b58","order_by":4,"name":"András Grabarits","email":"","orcid":"","institution":"University of Luxembourg","correspondingAuthor":false,"prefix":"","firstName":"András","middleName":"","lastName":"Grabarits","suffix":""},{"id":444575831,"identity":"6bb41129-b461-49c6-83b7-d89535e42dcd","order_by":5,"name":"Pranav Chandarana","email":"","orcid":"","institution":"Kipu Quantum GmbH","correspondingAuthor":false,"prefix":"","firstName":"Pranav","middleName":"","lastName":"Chandarana","suffix":""},{"id":444575832,"identity":"eca9be2f-70ce-422c-85a4-1d182ea2ecca","order_by":6,"name":"Enrique Solano","email":"","orcid":"","institution":"Kipu Quantum GmbH","correspondingAuthor":false,"prefix":"","firstName":"Enrique","middleName":"","lastName":"Solano","suffix":""},{"id":444575833,"identity":"bc574d0d-cd81-43cf-90a3-d8b8f4c91262","order_by":7,"name":"Adolfo del Campo","email":"","orcid":"","institution":"University of Luxembourg","correspondingAuthor":false,"prefix":"","firstName":"Adolfo","middleName":"del","lastName":"Campo","suffix":""},{"id":444575834,"identity":"04630401-f027-45c1-825d-8bd68a717c52","order_by":8,"name":"Narendra N. 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